We are required to deduce wave properties given a wave equation.

The general solution of a wave traveling in the positive x-direction is:

$\overline{){\mathbf{y}}{\mathbf{(}}{\mathbf{x}}{\mathbf{,}}{\mathbf{t}}{\mathbf{)}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{\mathbf{A}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{(}}{\mathbf{k}}{\mathbf{x}}{\mathbf{-}}{\mathbf{\omega}}{\mathbf{t}}{\mathbf{)}}}$ where A is the amplitude, k is the wavenumber and ω is the angular frequency.

The displacement of a wave traveling in the positive x-direction is D(x,t) = (3.5 cm)sin(3.2x − 132t), where x is in m and t is in s.

a. What is the frequency of this wave?

b. What is the wavelength of this wave?

c. What is the speed of this wave?

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